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学者姓名：滕忠铭
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Abstract ：
The calculation of the dominant eigenvalues of a symmetric matrix A together with its eigenvectors, followed by the calculation of the deflation of A(1) = A - rho UkUkT corresponds to one step of the Wielandt deflation technique, where p is a shift and U-k are eigenvectors of A. In this paper, we investigate how the eigenspace of A(1) changes when A(1) is perturbed to (A) over tilde (1) = A - rho(U) over tilde (k)(U) over tilde (T)(k). where (U) over tilde (k) are approximate eigenvectors of A. We establish the bounds for the angle of eigenspaces of A(1) and (A(1)) over tilde (1) based on the Davis-Kahan theorem. Moreover, in the practical implementation for singular value decomposition, once one or several singular triplets converge to a preset accuracy, they should be deflated by B-1 = B - gamma WkVkH with gamma being a shift, W-k and V-k are singular vectors of B, so that they will not be re-computed. We investigate how the singular subspaces of B-1 = B - gamma WkVkH change when B-1 is perturbed to (B) over tilde (1) = B - gamma(W) over tilde (k)(V) over tilde (H)(k), (W)over tilde>(k) and (V) over tilde (k). are approximate singular vectors of B. We also establish the bounds for the angle of singular subspaces of B-1 and (B) over tilde (1) based on the Wedin theorem.
Keyword ：
Davis-Kahan theorem Davis-Kahan theorem Deflation techniques Deflation techniques Singular value decomposition Singular value decomposition Spectrum decomposition Spectrum decomposition Wedin theorem Wedin theorem
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| GB/T 7714 | Wang, Zekun , Chen, Hongjia , Teng, Zhongming et al. On perturbations for spectrum and singular value decompositions followed by deflation techniques [J]. | APPLIED MATHEMATICS LETTERS , 2025 , 160 . |
| MLA | Wang, Zekun et al. "On perturbations for spectrum and singular value decompositions followed by deflation techniques" . | APPLIED MATHEMATICS LETTERS 160 (2025) . |
| APA | Wang, Zekun , Chen, Hongjia , Teng, Zhongming , Wang, Xiang . On perturbations for spectrum and singular value decompositions followed by deflation techniques . | APPLIED MATHEMATICS LETTERS , 2025 , 160 . |
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Global warming has significantly increased the frequency and intensity of heatwaves, posing serious threats to the health of middle-aged and elderly adults. Hypertension is a common chronic disease that is profoundly affected by extreme heat. However, spatial variations in its relationship with heatwave exposure remain insufficiently studied. This study aims to evaluate the impact of heatwaves on hypertension and investigate its spatial heterogeneity. Utilizing data from the China Health and Retirement Longitudinal Study (CHARLS) from the baseline year (2015) to follow-up year (2018), we included 7152 participants aged 45 and older. Average heatwave intensity was employed as the exposure metric. Global logistic regression (GLR) models assessed the association between heatwave exposure and hypertension risk. Geographically weighted logistic regression (GWLR) models were utilized to examine the spatial variations in this relationship. The results show that heatwave exposure increased hypertension risk by 9.7% (odds ratio (OR) = 1.097, 95% CI = 1.016-1.185, P = 0.018). The GWLR models revealed significantly higher hypertension risk in southern China compared to northern regions, with OR values ranging from 1.027 to 1.120. Key risk factors for hypertension include marital status (excluding married/cohabiting, OR: 0.993-1.105), uneducated individuals (OR: 1.083-1.138), overweight/obese individuals (OR: 1.293-1.420), and fasting blood glucose (OR: 1.071-1.114). Conversely, a higher estimated glomerular filtration rate (eGFR) is considered to be a protective factor (OR: 0.848-0.987). No significant geographic correlations were found between hypertension risk and gender, residence, smoking, or drinking. This study found a significant spatial heterogeneity association between heatwave exposure and increased hypertension risk among middle-aged and older adults in China. Our findings underscore the need for targeted public health interventions, especially for high-risk populations during heatwaves.
Keyword ：
Average heatwave intensity Average heatwave intensity Cohort study Cohort study Geographically weighted logistic regression models Geographically weighted logistic regression models Hypertension Hypertension Spatial heterogeneity Spatial heterogeneity
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| GB/T 7714 | Chen, Honglong , Bao, Lingxin , Wang, Tingyan et al. Geographical specific association between heatwave intensity and the risk of new-onset hypertension among middle-aged and elderly adults [J]. | INTERNATIONAL JOURNAL OF BIOMETEOROLOGY , 2025 , 69 (11) : 3215-3228 . |
| MLA | Chen, Honglong et al. "Geographical specific association between heatwave intensity and the risk of new-onset hypertension among middle-aged and elderly adults" . | INTERNATIONAL JOURNAL OF BIOMETEOROLOGY 69 . 11 (2025) : 3215-3228 . |
| APA | Chen, Honglong , Bao, Lingxin , Wang, Tingyan , Liu, Xiaojie , Cai, Wenqin , Yao, Yuexian et al. Geographical specific association between heatwave intensity and the risk of new-onset hypertension among middle-aged and elderly adults . | INTERNATIONAL JOURNAL OF BIOMETEOROLOGY , 2025 , 69 (11) , 3215-3228 . |
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目的 探讨体位性低血压与主要心血管疾病(包括心力衰竭、冠心病及脑卒中)的关系。方法 通过PubMed、Web of Science、Cochrane Library、中国知网(CNKI)、维普数据库(VIP)、万方数据知识服务平台等资源数据库对研究体位性低血压与主要心血管疾病关系的文献进行系统检索。检索期限为数据库建库时间至2023年11月30日。利用风险比(HR)进行荟萃分析。结果 纳入6项前瞻性研究，随访时间为3～26年。所有纳入文献的质量评分均≥4分，总体研究呈现高质量水平。荟萃分析结果显示：体位性低血压与心力衰竭(HR=1.37,95%CI 1.24～1.52)、冠心病(HR=1.47,95%CI 1.04～2.07)及脑卒中(HR=1.60,95%CI 1.32～1.93)风险增加相关。亚组结果分析显示：随访年限是冠心病研究间存在异质性的原因。敏感性分析结果显示：对于心力衰竭及脑卒中，荟萃分析结果总体稳健性较好；对于冠心病，敏感性分析结果不稳定。体位性低血压与心力衰竭、冠心病及脑卒中关系的漏斗图呈现不对称性，提示存在发表偏倚。利用剪补法校正后，漏斗图呈现出对称性。结论 体位性低血压增加心力衰竭、冠心病及脑卒中发生的风险，但冠心病与体位性低血压之间的敏感性分析结果不稳定，还需进一步研究。
Keyword ：
体位性低血压 体位性低血压 心血管疾病 心血管疾病 荟萃分析 荟萃分析
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| GB/T 7714 | 陈婉婷 , 蔡文钦 , 滕忠铭 et al. 体位性低血压和主要心血管疾病：一项系统综述和荟萃分析 [J]. | 中华高血压杂志(中英文) , 2025 , 33 (02) : 163-170 . |
| MLA | 陈婉婷 et al. "体位性低血压和主要心血管疾病：一项系统综述和荟萃分析" . | 中华高血压杂志(中英文) 33 . 02 (2025) : 163-170 . |
| APA | 陈婉婷 , 蔡文钦 , 滕忠铭 , 姚月娴 , 鲍玲鑫 . 体位性低血压和主要心血管疾病：一项系统综述和荟萃分析 . | 中华高血压杂志(中英文) , 2025 , 33 (02) , 163-170 . |
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Keyword ：
cardiovascular disease cardiovascular disease meta-analysis meta-analysis orthostatic hypotension orthostatic hypotension systematic review systematic review
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| GB/T 7714 | Chen, Wanting , Cai, Wenqin , Teng, Zhongming et al. Orthostatic Hypotension and Major Cardiovascular Diseases: A Systematic Review and Meta-Analysis [J]. | AMERICAN JOURNAL OF HYPERTENSION , 2025 , 38 (7) : 514-514 . |
| MLA | Chen, Wanting et al. "Orthostatic Hypotension and Major Cardiovascular Diseases: A Systematic Review and Meta-Analysis" . | AMERICAN JOURNAL OF HYPERTENSION 38 . 7 (2025) : 514-514 . |
| APA | Chen, Wanting , Cai, Wenqin , Teng, Zhongming , Bao, Lingxin . Orthostatic Hypotension and Major Cardiovascular Diseases: A Systematic Review and Meta-Analysis . | AMERICAN JOURNAL OF HYPERTENSION , 2025 , 38 (7) , 514-514 . |
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Abstract ：
. An orthonormal basis matrix X of a subspace X is known not to be unique, unless there are some kinds of normalization requirements. One of them is to require that XTD is positive semi-definite, where D is a constant matrix of apt size. It is a natural one in multi-view subspace learning models in which X serves as a projection matrix and is determined by a maximization problem over the Stiefel manifold whose objective function contains and increases with tr(XTD). This paper is concerned with bounding the change in orthonormal basis matrix X as subspace X varies under the requirement that XTD stays positive semi-definite. The results are useful in convergence analysis of the NEPv approach (nonlinear eigenvalue problem with eigenvector dependency) to solve the maximization problem.
Keyword ：
canonical angle canonical angle matrix matrix optimization on Stiefel manifold. optimization on Stiefel manifold. orthonormal basis orthonormal basis subspace subspace Unitarily invariant norm Unitarily invariant norm
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| GB/T 7714 | Teng, Zhongming , Li, Ren-cang . VARIATIONS OF ORTHONORMAL BASIS MATRICES OF SUBSPACES [J]. | NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION , 2023 , 15 (2) : 444-458 . |
| MLA | Teng, Zhongming et al. "VARIATIONS OF ORTHONORMAL BASIS MATRICES OF SUBSPACES" . | NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION 15 . 2 (2023) : 444-458 . |
| APA | Teng, Zhongming , Li, Ren-cang . VARIATIONS OF ORTHONORMAL BASIS MATRICES OF SUBSPACES . | NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION , 2023 , 15 (2) , 444-458 . |
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采用CRITIC法测度2011—2021年福建省九设区市农村金融发展水平和乡村振兴发展水平，并运用双向固定效应模型和面板门槛模型进行实证分析。结果表明：福建省乡村振兴综合发展水平增长趋势明显，但各地区发展不够均衡；福建省各地区农村金融发展水平呈上升趋势，部分乡村振兴发展水平较高地区的农信社具有较大的发展空间；福建省农村金融发展对乡村振兴具有显著正向作用，且受政府支持力度门槛效应的影响，当地方政府在金融方面的财政占比大于0.59%时，其促进作用更显著。基于此，提出落实全面推进乡村振兴战略，持续推动农村金融的发展与布局；深入了解农村资金需求，推动农村金融与乡村振兴协同发展；提高政府支持力度，完善地区产业结构等建议。
Keyword ：
乡村振兴 乡村振兴 农村金融 农村金融 政府支持力度 政府支持力度 门槛效应 门槛效应
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| GB/T 7714 | 连海峰 , 崔爱宁 , 辛尚珍 et al. 福建省农村金融发展促进乡村振兴的实证研究 [J]. | 福建农林大学学报(哲学社会科学版) , 2023 , 26 (05) : 12-20 . |
| MLA | 连海峰 et al. "福建省农村金融发展促进乡村振兴的实证研究" . | 福建农林大学学报(哲学社会科学版) 26 . 05 (2023) : 12-20 . |
| APA | 连海峰 , 崔爱宁 , 辛尚珍 , 田碧莲 , 滕忠铭 . 福建省农村金融发展促进乡村振兴的实证研究 . | 福建农林大学学报(哲学社会科学版) , 2023 , 26 (05) , 12-20 . |
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Abstract ：
MSC Codes 15A45, 65F35An orthonormal basis matrix X of a subspace X is known not to be unique, unless there are some kinds of normalization requirements. One of them is to require that XTD is positive semi-definite, where D is a constant matrix of apt size. It is a natural one in multi-view subspace learning models in which X serves as a projection matrix and is determined by a maximization problem over the Stiefel manifold whose objective function contains and increases with tr(XTD). This paper is concerned with bounding the change in orthonormal basis matrix X as subspace X varies under the requirement that XTD stays positive semi-definite. The results are useful in convergence analysis of the NEPv approach (nonlinear eigenvalue problem with eigenvector dependency) to solve the maximization problem. Copyright © 2023, The Authors. All rights reserved.
Keyword ：
Eigenvalues and eigenfunctions Eigenvalues and eigenfunctions
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| GB/T 7714 | Teng, Zhongming , Li, Ren-Cang . Variations of Orthonormal Basis Matrices of Subspaces [J]. | arXiv , 2023 . |
| MLA | Teng, Zhongming et al. "Variations of Orthonormal Basis Matrices of Subspaces" . | arXiv (2023) . |
| APA | Teng, Zhongming , Li, Ren-Cang . Variations of Orthonormal Basis Matrices of Subspaces . | arXiv , 2023 . |
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本文基于二维概率线性判别分析模型，即概率秩一判别分析模型（PRODA）进行扩展，引入每类单独的个体行列因子矩阵构建改进的概率秩一判别分析模型（I-PRODA）。新模型保留了原模型的优点，结合了数据个体内部与个体之间的变化，明确的表达了类别和噪声分量，同时考虑到了数据的不确定性和个体特定的变化。并以二维矩阵为输入数据，能充分利用来自张量的结构信息。相较于传统的PRODA模型，I-PRODA模型能更适用于类内方差大的图像识别。本文最后通过人造数据与真实数据的实验证明了I-PRODA模型具有更好的分类效果和识别率。
Keyword ：
图像识别 图像识别 数据分类 数据分类 概率秩一判别分析 概率秩一判别分析 概率线性判别分析 概率线性判别分析 统计信息技术 统计信息技术
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| GB/T 7714 | 林慧钗 , 潘雨婷 , 滕忠铭 . 改进的概率秩一判别分析模型及其应用 [J]. | 电子技术与软件工程 , 2023 , 4 (05) : 213-216 . |
| MLA | 林慧钗 et al. "改进的概率秩一判别分析模型及其应用" . | 电子技术与软件工程 4 . 05 (2023) : 213-216 . |
| APA | 林慧钗 , 潘雨婷 , 滕忠铭 . 改进的概率秩一判别分析模型及其应用 . | 电子技术与软件工程 , 2023 , 4 (05) , 213-216 . |
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基于2014—2019年中国省级面板数据，构建数字经济与城乡融合发展的评价指标体系，采用固定效应模型从要素差异性和区域异质性两个角度分析数字经济对城乡融合发展的影响。研究表明：数字经济对城乡融合起到显著的促进作用，且不同地区影响因素不同，具体表现为东部地区信息化发展相对突出、中部地区数字交易关联度高、西部地区互联网影响显著。因此，建议政府因地制宜，在各自地域优势的基础上，进一步加大对信息化技术投入、互联网发展创新、数字交易变革，充分发挥数字经济的驱动效应，进而提高城乡融合发展效率。
Keyword ：
地区差异 地区差异 城乡融合发展 城乡融合发展 数字经济 数字经济
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| GB/T 7714 | 王海艳 , 林云舟 , 滕忠铭 . 数字经济对城乡融合发展的影响因素研究 [J]. | 中共福建省委党校(福建行政学院)学报 , 2022 , (03) : 123-132 . |
| MLA | 王海艳 et al. "数字经济对城乡融合发展的影响因素研究" . | 中共福建省委党校(福建行政学院)学报 03 (2022) : 123-132 . |
| APA | 王海艳 , 林云舟 , 滕忠铭 . 数字经济对城乡融合发展的影响因素研究 . | 中共福建省委党校(福建行政学院)学报 , 2022 , (03) , 123-132 . |
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Principal component analysis (PCA) is one of the most popular tools in multivariate exploratory data analysis. Its probabilistic version (PPCA) based on the maximum likelihood procedure provides a probabilistic manner to implement dimension reduction. Recently, the bilinear PPCA (BPPCA) model, which assumes that the noise terms follow matrix variate Gaussian distributions, has been introduced to directly deal with two-dimensional (2-D) data for preserving the matrix structure of 2-D data, such as images, and avoiding the curse of dimensionality. However, Gaussian distributions are not always available in real-life applications which may contain outliers within data sets. In order to make BPPCA robust for outliers, in this paper, we propose a robust BPPCA model under the assumption of matrix variate t distributions for the noise terms. The alternating expectation conditional maximization (AECM) algorithm is used to estimate the model parameters. Numerical examples on several synthetic and publicly available data sets are presented to demonstrate the superiority of our proposed model in feature extraction, classification and outlier detection. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
Keyword ：
Classification (of information) Classification (of information) Data handling Data handling Feature extraction Feature extraction Gaussian distribution Gaussian distribution Matrix algebra Matrix algebra Maximum likelihood estimation Maximum likelihood estimation Principal component analysis Principal component analysis Statistics Statistics
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| GB/T 7714 | Lu, Yaohang , Teng, Zhongming . Robust bilinear probabilistic principal component analysis [J]. | Algorithms , 2021 , 14 (11) . |
| MLA | Lu, Yaohang et al. "Robust bilinear probabilistic principal component analysis" . | Algorithms 14 . 11 (2021) . |
| APA | Lu, Yaohang , Teng, Zhongming . Robust bilinear probabilistic principal component analysis . | Algorithms , 2021 , 14 (11) . |
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